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This set of Applied Mechanics Multiple Choice Questions & Answers (MCQs) focuses on Applied Mechanics Set 8
Q1 | The angular velocity of hour hand of a watch is
- 0.0001745 sec-1
- 0.0001455 sec-1
- 0.0000145 sec-1
- 0.1045 sec-1
- 0.001745 sec-1
Q2 | A plane is inclinea at angle ? to horizontal. If a body can just rest on a plane, determine the least force to draw the body up the plance
- W sin2?
- 2 W cos2?
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- W cos2?
- 2 W sin2?
Q3 | A stone is dropped into a deep shaft without any initial velocity. The sound of the stone hitting the bottom is heard after 4 seconds. If the velocity of sound is 330 m/sec the depth of the shaft will be
- 33.1 m
- 660 m
- 165 m
- 66.2 m
- 330 m
Q4 | Maximum acceleration in above problem is
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- 2?2/3 m/s2
- ?2/s m/s2
- 3?2 m/s2
- 4?2/9 m/s2
Q5 | A body weighing 500 kg falls 8 cm and strikes a 500 kg/cm spring. The deformation of the spring will be
- ?8 cm
- 8 cm
- 4 cm
- 20.5 cm
- 2 cm
Q6 | Given that the area of a figure varies as square of mean ordinate. The area of the figure is 154 sq. cm when the mean ordinate is 7 cm. The area of the figure when mean ordinate is 10.5 cm will be
- 364.9 cm
- 364.5 cm
- 360.6 cm
- 346.5 cm
- 356.3 cm
Q7 | The weight of a 72 kg man on earth's surface is
- 100.3 N
- 72 N
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- 706.3 N
- 760 N
Q8 | If four turms of rope around a horizontal post will hold a 100 kg weight with a pull of 1 kg, then
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- 0.25
- 0.18
- 0.3
- 0.11
Q9 | In the second system of pulleys, if there are two pulley blocks having 'n1' and 'n2' pulleys in the first and second pulley blocks respectively, then the velocity ratio of the whole system will be equal to
- 2n1 + n2
- n1 - n2
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- 2n1 + 2n2
- n1 + n2
Q10 | The power of a locomotive is 315 kW and the total weight of the train is 2000 kN. If the track resistance is 15 N per kN, the maximum speed that the locomotive can attain on level track will be
- 43 kmph
- 83 kmph
- 103 kmph
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- 38 kmph
Q11 | A particle is of wieght 8 kg. When it is allowed to fall under the force of gravity its momentum at the time t = 2 sec would be
- 8 kg sec
- 32 kg sec
- 2 kg sec
- 16 kg sec
- 48 kg sec
Q12 | The maximum velocity of a body in SHM with amplitude of 150 mm and a frequency 2 vibrations/sec is equal to
- 1.885 m/sec
- 0.01885 m/sec
- 0.1885 m/sec
- 18.55 m/sec
- 185.5 m/sec
Q13 | A wheel 8 mts in diameter coasts to rest from a speed of 800 rpm in 10 minutes. Its angular deceleration is
- 308/min2
- 683 rad/min2
- 502 rad/min2
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- 809 rad/min2
Q14 | The moment of inertia of a hollow circular section whose external diameter is 8 cm and interial diameter is 6 cm about the axis passing through its centre is
- 66.8 cm4
- 137.5 cm4
- 550 cm4
- 33.4 cm4
- 275 cm4
Q15 | A rope of weight 0.5 kg/m hangs from a drum for a height of 6 m. The work done in winding up the rope will be
- 9 kg-m
- 3 kg-m
- 12 kg-m
- 18 kg-m
- 6 kg-m
Q16 | The x coordinate of the centroid of the area enclosed by the parabolas y = x2 and x = y2 will be
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- 0.44
- 0.43
- 0.45
- 0.46
Q17 | According to Kepler's law of motion the square of the time period T of a planet around the sun is proportional to the
- mean distance
- square of the mean distance of planet from sun
- cube of the mean distance of planet from sun
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- 3/2 power of the mean distance
Q18 | Let the only force acting on two bodies be their mutual interactions. If both bodies start from rest, the distances travelled by each will be a
- proportional to the respective masses of the bodies
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- inversely proportional to the respective masses of the bodies
- directly proportional to the square of the respective masses of the bodies
- inversely proportional to the square of the respective masses of the bodies
Q19 | Kinetic friction is
- Maximum value of frictional force when a body is about to move
- Friction between two well lubricated bodies
- Friction force acting when the body is in motion
- Driction force which keeps a body in motion
- None of the above
Q20 | When two forces acting at a point are such that if the direction of one is reversed, the direction of the resultant is turned through a right angle, the forces must be
- inclined at more than 90?
- inclined at less than 90?
- equal in magnitude
- acting at 180?
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Q21 | If w is the angular velocity of the pulley and T1 and T2 are tensions of driving and driven side then power transmitted equals
- (T1 + T2) w
- (T1 + 2T2) w
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- (T1 - T2) w
- wT1
Q22 | The ideal angle of banking provided on roads
- Depends on (velocity)2 of vehicle
- Depends on the nature of road surface
- Depend on coefficient of friction between the road and the vehicle cantact point
- Depends on weight of the vehicle
- All above
Q23 | The moment of inertia of a thin ring about an axis perpendicular to plane of ring is
- 1/3 Mr3
- Mr2
- Mr
- Mr3
- 1/2 Mr3
Q24 | A 2 kg block is dropped from a height of 4 metre onto a spring of force constant k = 1960 N/m. The spring will be compressed through
- 1 cm
- 4.5 cm
- 3 cm
- 8 cm
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Q25 | A boy sitting in a rail road car throws a ball straight up into the air. The ball will fall back into his hands when the rail road car is
- moving at constant velocity
- accelerating forward while going around a curve of radius equal to the maximum height attained by the ball
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- accelerating forwardA block A is dropped down a smooth inclined plane, while another identical block B is released for free fall from the same height
- decelerating